Fint no of points

Find no of points having integral coordinates on line 3x+5y=2007 in first quadrant excluding coordinate axes.....

.........................(FIITJEE AITS )

3 Answers

1
varun ·

133 ?

1
Rohan Ghosh ·

it means x>0 and y>0

and

3x=2007-5y
=> x = 669-5y/3

x is an integer

=> 5y/3 is an integer ..

y is divisible by 3 ..

and 669-5y/3>0

=>

y<2007/5 = >

y<=401

no of multiples of three from 1 to 401

we see that 3 divides 399

399/3=133

hence 133 points

33
Abhishek Priyam ·

:)

thnx

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